Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 26

Answer

$$x_{intercept} = (1.6, 0)$$ $$y_{intercept} = (0, 2)$$
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Work Step by Step

To find the intercepts, one must substitute the opposite variable with zero and then solve the equation. To find $x_{intercept}$, for instance: $$10x + 8(0) = 16$$ $$10x = 16$$ $$x = \frac{16}{10} = 1.6$$ To find the $y_{intercept}$: $$10(0) + 8y = 16$$ $$8y = 16$$ $$y = 2$$ And, finally, to draw the graph one simply plots the intercepts and draws the line that connects them.
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